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Finding the Fourth Proportional to 144.50, 198.32 and 130.66

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Solution

The fourth proportional to 144.50, 198.32 and 130.66 is: 179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.50 : 198.32 = 130.66 : x
  2. Step 2: Convert to fraction form
    144.50/198.32 = 130.66/x
  3. Step 3: Cross multiply
    144.50x = 198.32 × 130.66
  4. Step 4: Simplify right side
    144.50x = 25,911.34
  5. Step 5: Solve for x
    x = 25,911.34/144.50
  6. Step 6: Final answer
    x = 179.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.